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A metallic rod of length 1 m is rigidly ...

A metallic rod of length 1 m is rigidly clamped at its midpoint. Longitudinal stationary waves are set up in the rod in such a way that there are two nodes on either side of the midpoint. The amplitude of an antinode is `2xx10^(-6)m`.
(i) Write the equation of motion at a point 2 cm from the midpoint __________ (ii) Write the equation of constituent waves in the rod _________ `(Y=2xx10^(11)N//m^(2) and rho=8xx10^(3)kg//m^(3))`.

Text Solution

Verified by Experts

The correct Answer is:
`y=10^(-6)sin(0.1pit)sin(25000pit),y_(1)=10^(-6)sin(25000pit-5pit),y_(2)=10^(-6)sin(25000 pit+5 pi x)`]
`v=sqrt((Y)/(rho))=sqrt((2xx10^(11))/(8000))=5000m//s`
`(5)/(2)lamda =LrArr lamda=(2L)/(5)=(2xx1)/(5)=0.4m`.
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